In some recent works [1]}, [2]}, we re-examined the models of [3]} and [4]} from an algebraic viewpoint, based on the introduction of some novel ladder operators completing their description in terms of the operators \(A^+\)  and \(A^-\)  coming from the shape invariant supersymmetric approach. This allowed us to show that these systems enjoy a hidden algebraic structure very similar to that known for the real harmonic oscillator and to connect it with the underlying superintegrability property. The sets of ladder operators were also used to describe the associated functions, needed to complete the Jordan blocks appearing due to the nondiagonalizability of the models.
